23 Squareroot 27 a2 b4 3b3 Squareroot 125 a2 b Solution2 cu

2^3 Squareroot 27 a^2 b^4 + 3b^3 Squareroot 125 a^2 b

Solution

2 cube root ( 27 a^2 b^4 ) + 3b cube root ( 125 a^2 b )

simplifying the first expression

cube root 27 = 3

cube root b^4 = b cube root b

hence first expression becomes

2*3*b cube root ( a^2 b )

6b cube root (a^2 b)

now simplifying the 2nd expression

3b cube root ( 125 a^2 b )

cube root 125 = 5

3*5b cube root ( a^2 b )

15b cube root (a^2 b )

so we have

6b cube root (a^2 b) + 15b cube root (a^2 b )

= 21b cube root (a^2 b )